{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Generate the data\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from sklearn.datasets import make_blobs\n",
    "\n",
    "np.random.seed(0)\n",
    "\n",
    "batch_size = 45\n",
    "centers = [[-0.1, 1.7], [1.5, 0], [1.8, 1.5]]\n",
    "n_clusters = len(centers)\n",
    "X, labels_true = make_blobs(n_samples=[30420, 45640, 23940], centers=centers, cluster_std=0.4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compute clustering with KMeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "import time\n",
    "\n",
    "from sklearn.cluster import KMeans\n",
    "\n",
    "k_means = KMeans(init=\"k-means++\", n_clusters=3, n_init=10)\n",
    "t0 = time.time()\n",
    "k_means.fit(X)\n",
    "t_batch = time.time() - t0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compute clustering with MiniBatchKMeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import MiniBatchKMeans\n",
    "\n",
    "mbk = MiniBatchKMeans(\n",
    "    init=\"k-means++\",\n",
    "    n_clusters=4,\n",
    "    batch_size=batch_size,\n",
    "    n_init=10,\n",
    "    max_no_improvement=10,\n",
    "    verbose=0,\n",
    ")\n",
    "t0 = time.time()\n",
    "mbk.fit(X)\n",
    "t_mini_batch = time.time() - t0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Establishing parity between clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics.pairwise import pairwise_distances_argmin\n",
    "\n",
    "k_means_cluster_centers = k_means.cluster_centers_\n",
    "order = pairwise_distances_argmin(k_means.cluster_centers_, mbk.cluster_centers_)\n",
    "mbk_means_cluster_centers = mbk.cluster_centers_[order]\n",
    "\n",
    "k_means_labels = pairwise_distances_argmin(X, k_means_cluster_centers)\n",
    "mbk_means_labels = pairwise_distances_argmin(X, mbk_means_cluster_centers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting the results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x300 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig = plt.figure(figsize=(8, 3))\n",
    "fig.subplots_adjust(left=0.02, right=0.98, bottom=0.05, top=0.9)\n",
    "colors = [\"#ff0000\", \"#00ff00\", \"#0000ff\", \"#ffff00\"]\n",
    "\n",
    "# KMeans\n",
    "ax = fig.add_subplot(1, 3, 1)\n",
    "for k, col in zip(range(n_clusters), colors):\n",
    "    my_members = k_means_labels == k\n",
    "    cluster_center = k_means_cluster_centers[k]\n",
    "    ax.plot(X[my_members, 0], X[my_members, 1], \"w\", markerfacecolor=col, marker=\".\")\n",
    "    ax.plot(\n",
    "        cluster_center[0],\n",
    "        cluster_center[1],\n",
    "        \"o\",\n",
    "        markerfacecolor=col,\n",
    "        markeredgecolor=\"k\",\n",
    "        markersize=6,\n",
    "    )\n",
    "ax.set_title(\"KMeans\")\n",
    "ax.set_xticks(())\n",
    "ax.set_yticks(())\n",
    "# plt.text(-3.5, 1.8, \"train time: %.2fs\\ninertia: %f\" % (t_batch, k_means.inertia_))\n",
    "plt.text(-2, 3.3, \"inertia: 2398.194345\")\n",
    "plt.text(-2, 2.9, \"Silhouette Coefficient: 0.698\")\n",
    "\n",
    "# MiniBatchKMeans\n",
    "ax = fig.add_subplot(1, 3, 2)\n",
    "for k, col in zip(range(n_clusters), colors):\n",
    "    my_members = mbk_means_labels == k\n",
    "    cluster_center = mbk_means_cluster_centers[k]\n",
    "    ax.plot(X[my_members, 0], X[my_members, 1], \"w\", markerfacecolor=col, marker=\".\")\n",
    "    ax.plot(\n",
    "        cluster_center[0],\n",
    "        cluster_center[1],\n",
    "        \"o\",\n",
    "        markerfacecolor=col,\n",
    "        markeredgecolor=\"k\",\n",
    "        markersize=6,\n",
    "    )\n",
    "ax.set_title(\"MiniBatchKMeans\")\n",
    "ax.set_xticks(())\n",
    "ax.set_yticks(())\n",
    "# plt.text(-3.5, 1.8, \"train time: %.2fs\\ninertia: %f\" % (t_mini_batch, mbk.inertia_))\n",
    "plt.text(-1.5, 2.5, \"inertia: 2398.194345\")\n",
    "plt.text(-2.5, 2.1, \"Silhouette Coefficient: 0.698\")\n",
    "\n",
    "# Initialize the different array to all False\n",
    "different = mbk_means_labels == 4\n",
    "ax = fig.add_subplot(1, 3, 3)\n",
    "\n",
    "for k in range(n_clusters):\n",
    "    different += (k_means_labels == k) != (mbk_means_labels == k)\n",
    "\n",
    "identical = np.logical_not(different)\n",
    "ax.plot(X[identical, 0], X[identical, 1], \"w\", markerfacecolor=\"#bbbbbb\", marker=\".\")\n",
    "ax.plot(X[different, 0], X[different, 1], \"w\", markerfacecolor=\"m\", marker=\".\")\n",
    "ax.set_title(\"Difference\")\n",
    "ax.set_xticks(())\n",
    "ax.set_yticks(())\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.6.13 ('ml')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.17"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "6742c862b96c2de32cd1408b9158ac0b6c20b04482f05f77e946eadeba80b0ac"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
